He will also meet French business leaders involved in carmaking, construction, infrastructure, water and waste treatment as well as in the petrol and gas sectors, and several deals could be announced.

In Italy on Monday and Tuesday, the Iranian president closed several business deals worth €17 billion. Most notably, the Saipem company signed a memorandum of understanding for gas and oil projects worth €3.5 billion.

Renzi, who said that the visit was "just the beginning" in relations between Italy and Iran, announced he would travel to Iran in the coming months.

Unusual arrangements

After years of Western sanctions Iran is set to modernise its economy and industry. Europe, once Iran's main trade partner, is trying to position itself.

On 17 January the EU energy commissioner said an EU delegation would travel to Iran soon to explore possible cooperation on nuclear, oil, gas, renewable energy and energy efficiency.

The Iranian president's visit has come with some unusual arrangements. On Tuesday, antique nude statues in Rome's Capitol museum were covered to avoid shocking the delegation.

In Paris, the meeting between Rouhani and president Francois Hollande will be held between lunch and dinner, because the two leaders' offices could not agree on whether to have wine on the table or not.

Despite the political will and economic appetite, business leaders are waiting to see how the relation with Iran will evolve.

Sanctions were lifted because Iran complied with demands on its nuclear military programme. But if it stops respecting its commitments, sanctions would be imposed again.

"There is a risk," a business source told French daily Liberation. "Everyone goes [to Iran] because you have to be there. But the reverse gear is ready to be activated."